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Atlas › Integer Profiles › Node 6,603,786

6,603,786

2 × 32 × 7 × 17 × 3083
Abundant Even Composite

6,603,786 factors as 2 × 3^2 × 7 × 17 × 3083. Its 48 positive divisors give a proper-divisor sum of 10,715,958, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 3083
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,319,744
Proper Divisor Sum 10,715,958
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6603763 ← → #6603787

Radix Representation

Decimal 6603786
Binary 11001001100010000001010 (23 bits)
Octal 0o31142012
Hexadecimal 0x64C40A

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 2,142 3,083 6,166 9,249 18,498 21,581 27,747 43,162 52,411 55,494 64,743 104,822 129,486 157,233 194,229 314,466 366,877 388,458 471,699 733,754 943,398 1,100,631 2,201,262 3,301,893 6,603,786

Collatz Trajectory (147 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,603,786 3,301,893 9,905,680 4,952,840 2,476,420 1,238,210 619,105 1,857,316 928,658 464,329 1,392,988 696,494 348,247 1,044,742 522,371 1,567,114 783,557 2,350,672 1,175,336 587,668 293,834 146,917 440,752 220,376 110,188 55,094 27,547 82,642 41,321 123,964 61,982 30,991 92,974 46,487 139,462 69,731 209,194 104,597 313,792 156,896 78,448 39,224 19,612 9,806 4,903 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983

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